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Robust finite-horizon scheduling/rescheduling of operating rooms with elective and emergency surgeries under resource constraints

Author

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  • F. Davarian

    (Bu-Ali Sina University)

  • J. Behnamian

    (Bu-Ali Sina University)

Abstract

Proper planning and scheduling of activities involved in health can improve productivity in this area. In this regard, hospitals are one of the most critical components, and in hospitals, the operating room is one of the most important ones. Since the operating room is a very costly facility, the scheduling of the patients and involved resources is an important issue. In this study, the problem of scheduling and rescheduling of the operating room in a finite horizon is investigated to minimize the total waiting time and tardiness of patients. The constraints in the problem under consideration are the number of surgeons and the number of beds available. Furthermore, emergency patients as well elective patients are considered simultaneously in our proposed model. In addition to operating room scheduling in this study, rescheduling is also done to canceled patients. To further fit the model presented with reality, uncertainties in parameters such as operating time and the number of beds in the post-anesthesia care unit are also considered. In this study, robust optimization is used to deal with uncertainties in the model. After applying the Bertsimas and Sim approach, due to the complexity of the problem under investigation, the genetic algorithm is used to solve the proposed model. To validate the mentioned algorithm, the particle swarm optimization algorithm is selected according to the literature. The results of the comparison show the superiority of the proposed algorithm compared to the particle swarm optimization algorithm in terms of the objective function and running time.

Suggested Citation

  • F. Davarian & J. Behnamian, 2022. "Robust finite-horizon scheduling/rescheduling of operating rooms with elective and emergency surgeries under resource constraints," Journal of Scheduling, Springer, vol. 25(6), pages 625-641, December.
  • Handle: RePEc:spr:jsched:v:25:y:2022:i:6:d:10.1007_s10951-022-00741-x
    DOI: 10.1007/s10951-022-00741-x
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    References listed on IDEAS

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    1. Jose M. Molina-Pariente & Erwin W. Hans & Jose M. Framinan, 2018. "A stochastic approach for solving the operating room scheduling problem," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 224-251, June.
    2. Kumar, Ashwani & Costa, Alysson M. & Fackrell, Mark & Taylor, Peter G., 2018. "A sequential stochastic mixed integer programming model for tactical master surgery scheduling," European Journal of Operational Research, Elsevier, vol. 270(2), pages 734-746.
    3. Choi, Sangdo & Wilhelm, Wilbert E., 2014. "An approach to optimize block surgical schedules," European Journal of Operational Research, Elsevier, vol. 235(1), pages 138-148.
    4. Anjomshoa, Hamideh & Dumitrescu, Irina & Lustig, Irvin & Smith, Olivia J., 2018. "An exact approach for tactical planning and patient selection for elective surgeries," European Journal of Operational Research, Elsevier, vol. 268(2), pages 728-739.
    5. A. L. Soyster, 1973. "Technical Note—Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming," Operations Research, INFORMS, vol. 21(5), pages 1154-1157, October.
    6. Francisco Ballestín & Ángeles Pérez & Sacramento Quintanilla, 2019. "Scheduling and rescheduling elective patients in operating rooms to minimise the percentage of tardy patients," Journal of Scheduling, Springer, vol. 22(1), pages 107-118, February.
    7. Guillermo Durán & Pablo A. Rey & Patricio Wolff, 2017. "Solving the operating room scheduling problem with prioritized lists of patients," Annals of Operations Research, Springer, vol. 258(2), pages 395-414, November.
    8. A. Ben-Tal & A. Nemirovski, 1998. "Robust Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 769-805, November.
    9. Abbas Al-Refaie & Mays Judeh & Toly Chen, 2018. "Optimal multiple-period scheduling and sequencing of operating room and intensive care unit," Operational Research, Springer, vol. 18(3), pages 645-670, October.
    10. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    11. Bernardetta Addis & Giuliana Carello & Andrea Grosso & Elena Tànfani, 2016. "Operating room scheduling and rescheduling: a rolling horizon approach," Flexible Services and Manufacturing Journal, Springer, vol. 28(1), pages 206-232, June.
    12. De Vuyst, Stijn & Bruneel, Herwig & Fiems, Dieter, 2014. "Computationally efficient evaluation of appointment schedules in health care," European Journal of Operational Research, Elsevier, vol. 237(3), pages 1142-1154.
    13. Kenneth J. Klassen & Reena Yoogalingam, 2019. "Appointment scheduling in multi-stage outpatient clinics," Health Care Management Science, Springer, vol. 22(2), pages 229-244, June.
    14. Burdett, Robert L. & Kozan, Erhan, 2018. "An integrated approach for scheduling health care activities in a hospital," European Journal of Operational Research, Elsevier, vol. 264(2), pages 756-773.
    15. Michael Samudra & Carla Van Riet & Erik Demeulemeester & Brecht Cardoen & Nancy Vansteenkiste & Frank E. Rademakers, 2016. "Scheduling operating rooms: achievements, challenges and pitfalls," Journal of Scheduling, Springer, vol. 19(5), pages 493-525, October.
    16. Francesca Guerriero & Rosita Guido, 2011. "Operational research in the management of the operating theatre: a survey," Health Care Management Science, Springer, vol. 14(1), pages 89-114, March.
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